Differential Logic • 12

Posted on November 12, 2024 by Jon Awbrey

Transforms Expanded over Ordinary and Differential Variables

A first view of how the shift operator \mathrm{E} acts on the set of sixteen functions f : \mathbb{B} \times \mathbb{B} \to \mathbb{B} was provided by Table A3 in the previous post, expanding the expressions of \mathrm{E}f over the set \{ p, q \} of ordinary variables.

A complementary view of the same material is provided by Table 4 below, this time expanding the expressions of \mathrm{E}f over the set \{ \mathrm{d}p, \mathrm{d}q \} of differential variables.

Enlargement Map Expanded over Differential Variables

\text{Table A4.}~~ \mathrm{E}f ~\text{Expanded over Differential Variables}~ \{ \mathrm{d}p, \mathrm{d}q \}

Ef Expanded over Differential Variables {dp, dq}

Resources

cc: Academia.edu • Cybernetics • Structural Modeling • Systems Science
cc: Conceptual Graphs • Laws of Form • Mathstodon • Research Gate

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4 Responses to Differential Logic • 12

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